A note on the existence of solution for semilinear heat equations with polynomial growth nonlinearity
Commentationes Mathematicae Universitatis Carolinae (1993)
- Volume: 34, Issue: 3, page 425-431
- ISSN: 0010-2628
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topKim, Wan Se. "A note on the existence of solution for semilinear heat equations with polynomial growth nonlinearity." Commentationes Mathematicae Universitatis Carolinae 34.3 (1993): 425-431. <http://eudml.org/doc/247492>.
@article{Kim1993,
abstract = {The existence of weak solution for periodic-Dirichlet problem to semilinear heat equations with superlinear growth non-linear term is treated.},
author = {Kim, Wan Se},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {periodic-Dirichlet problem; semilinear heat equation; superlinear growth; existence of weak solution; periodic-Dirichlet problem; semilinear heat equations; superlinear growth},
language = {eng},
number = {3},
pages = {425-431},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A note on the existence of solution for semilinear heat equations with polynomial growth nonlinearity},
url = {http://eudml.org/doc/247492},
volume = {34},
year = {1993},
}
TY - JOUR
AU - Kim, Wan Se
TI - A note on the existence of solution for semilinear heat equations with polynomial growth nonlinearity
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1993
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 34
IS - 3
SP - 425
EP - 431
AB - The existence of weak solution for periodic-Dirichlet problem to semilinear heat equations with superlinear growth non-linear term is treated.
LA - eng
KW - periodic-Dirichlet problem; semilinear heat equation; superlinear growth; existence of weak solution; periodic-Dirichlet problem; semilinear heat equations; superlinear growth
UR - http://eudml.org/doc/247492
ER -
References
top- Brezis H., Nirenberg L., Characterization of the range of some nonlinear operators and application to boundary value problem, Ann. Scuola Norm Pisa (4) 5 (1978), 225-326. (1978) MR0513090
- Fučík S., Solvability of Nonlinear Equations and Boundary Value Problems, Pediel, Dordrecht, 1980. MR0620638
- Nkashama M.N., Willem M., Periodic solutions of the boundary value problem for the nonlinear heat equation, Bull. Austral. Math. Soc. 29 (1984), 99-110. (1984) Zbl0555.35062MR0753565
- Sanchez L., A note on periodic solutions of heat equation with a superlinear term, Nonlinear Functional Anal. and its Appl., S.P. Singh (ed.), D. Reidel Publ. Co., 1986. Zbl0611.35046MR0852596
- Šťastnová, Fučík S., Note to periodic solvability of the boundary value problem for nonlinear heat equation, Comment. Math. Univ. Carolinae 18 (1977), 735-740. (1977) MR0499739
- Vejvoda O. and al., Partial Differential Equations, Time Periodic Solutions, Sijthoff Noordhoff, 1981.
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